138439378277804448
138,439,378,277,804,448 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138439378277804448 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138439378277804448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138439378277804448:
25 × 33 × 13 × 31 × 139 × 1319 × 2168609
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 139 × 1319 × 2168609)See below for interesting mathematical facts about the number 138439378277804448 from the Numbermatics database.
Names of 138439378277804448
- Cardinal: 138439378277804448 can be written as One hundred thirty-eight quadrillion, four hundred thirty-nine trillion, three hundred seventy-eight billion, two hundred seventy-seven million, eight hundred four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38439378277804448 × 1017
Factors of 138439378277804448
Divisors of 138439378277804448
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 72 78 93 96 104 108 117 124 139 144 156 186 208 216 234 248 278 279 288 312 351 372 403 416 417 432 468 496 556 558 624 702 744 806 834 837 864 936 992 1112 1116 1209 1248 1251 1319 1404 1488 1612 1668 1674 1807 1872 2224 2232 2418 2502 2638 2808 2976 3224 3336 3348 3614 3627 3744 3753 3957 4309 4448 4464 4836 5004 5276 5421 5616 6448 6672 6696 7228 7254 7506 7914 8618 8928 9672 10008 10552 10842 10881 11232 11871 12896 12927 13344 13392 14456 14508 15012 15828 16263 17147 17236 19344 20016 21104 21684 21762 23742 25854 26784 28912 29016 30024 31656 32526 34294 34472 35613 38688 38781 40032 40889 42208 43368 43524 47484 48789 51441 51708 56017 57824 58032 60048 63312 65052 68588 68944 71226 77562 81778 86736 87048 94968 97578 102882 103416 112034 116064 116343 120096 122667 126624 130104 137176 137888 142452 154323 155124 163556 168051 173472 174096 183341 189936 195156 205764 206832 224068 232686 245334 260208 274352 284904 308646 310248 327112 336102 348192 366682 368001 379872 390312 411528 413664 448136 462969 465372 490668 504153 520416 531557 548704 550023 569808 617292 620496 654224 672204 733364 736002 780624 823056 896272 925938 930744 981336 1008306 1063114 1100046 1104003 1139616 1234584 1240992 1308448 1344408 1466728 1472004 1512459 1561248 1594671 1646112 1650069 1792544 1851876 1861488 1962672 2016612 2126228 2168609 2200092 2208006 2383433 2469168 2688816 2933456 2944008 3024918 3189342 3300138 3703752 3722976 3925344 4033224 4252456 4337218 4400184 4416012 4766866 4784013 4938336 4950207 5377632 5683571 5866912 5888016 6049836 6378684 6505827 6600276 7150299 7407504 8066448 8504912 8674436 8800368 8832024 9533732 9568026 9900414 11367142 11776032 12099672 12757368 13011654 13200552 14300598 14352039 14815008 16132896 17009824 17050713 17348872 17600736 17664048 19067464 19136052 19517481 19800828 21450897 22734284 24199344 25514736 26023308 26401104 28191917 28601196 28704078 34101426 34697744 35328096 38134928 38272104 39034962 39601656 42901794 45468568 48398688 51029472 51152139 52046616 52802208 56383834 57202392 57408156 58552443 64352691 67226879 68202852 69395488 73886423 76269856 76544208 78069924 79203312 84575751 85803588 90937136 102304278 104093232 112767668 114404784 114816312 117104886 128705382 134453758 136405704 147772846 153088416 153456417 156139848 158406624 169151502 171607176 181874272 201680637 204608556 208186464 221659269 225535336 228809568 229632624 234209772 253727253 257410764 268907516 272811408 295545692 301436651 306912834 312279696 338303004 343214352 403361274 409217112 443318538 451070672 459265248 468419544 507454506 514821528 537815032 545622816 591091384 602873302 605041911 613825668 624559392 664977807 676606008 686428704 761181759 806722548 818434224 873949427 886637076 902141344 904309953 936839088 1014909012 1029643056 1075630064 1182182768 1205746604 1210083822 1227651336 1329955614 1353212016 1522363518 1613445096 1636868448 1747898854 1773274152 1808619906 1815125733 1873678176 1994933421 2029818024 2059286112 2151260128 2364365536 2411493208 2420167644 2455302672 2621848281 2659911228 2706424032 2712929859 2860395271 3044727036 3226890192 3495797708 3546548304 3617239812 3630251466 3918676463 3989866842 4059636048 4822986416 4840335288 4910605344 5243696562 5319822456 5425859718 5720790542 6089454072 6453780384 6991595416 7093096608 7234479624 7260502932 7837352926 7865544843 7979733684 8119272096 8138789577 8581185813 9344536181 9645972832 9680670576 10487393124 10639644912 10851719436 11441581084 11756029389 12178908144 13983190832 14468959248 14521005864 15674705852 15731089686 15959467368 16277579154 17162371626 18689072362 19361341152 20974786248 21279289824 21703438872 22883162168 23512058778 23596634529 24357816288 25743557439 27966381664 28033608543 28937918496 29042011728 31349411704 31462179372 31918934736 32555158308 34324743252 35268088167 37185138523 37378144724 41949572496 43406877744 45766324336 47024117556 47193269058 51487114878 56067217086 58084023456 62698823408 62924358744 63837869472 65110316616 68649486504 70536176334 74370277046 74756289448 77230672317 83899144992 84100825629 86813755488 88672253401 91532648672 94048235112 94386538116 102974229756 105804264501 111555415569 112134434172 121478970353 125397646816 125848717488 130220633232 137298973008 141072352668 148740554092 149512578896 154461344634 168201651258 177344506802 188096470224 188773076232 205948459512 211608529002 223110831138 224268868344 242957940706 251697434976 252302476887 260441266464 266016760203 274597946016 282144705336 297481108184 299025157792 308922689268 334666246707 336403302516 354689013604 364436911059 376192940448 377546152464 397594942669 411896919024 423217058004 446221662276 448537736688 485915881412 504604953774 532033520406 564289410672 594962216368 617845378536 669332493414 672806605032 709378027208 728873822118 755092304928 795189885338 798050280609 823793838048 846434116008 892443324552 897075473376 971831762824 1003998740121 1009209907548 1064067040812 1093310733177 1128578821344 1152739294213 1189924432736 1192784828007 1235690757072 1338664986828 1345613210064 1418756054416 1457747644236 1590379770676 1596100561218 1692868232016 1784886649104 1943663525648 2007997480242 2018419815096 2128134081624 2186621466354 2305478588426 2385569656014 2394150841827 2471381514144 2677329973656 2691226420128 2837512108832 2915495288472 3180759541352 3192201122436 3279932199531 3385736464032 3458217882639 3569773298208 3578354484021 3887327051296 4015994960484 4036839630192 4256268163248 4373242932708 4610957176852 4771139312028 4788301683654 5168734254697 5354659947312 5830990576944 6361519082704 6384402244872 6559864399062 6916435765278 7156708968042 8031989920968 8073679260384 8512536326496 8746485865416 9221914353704 9542278624056 9576603367308 10337468509394 10374653647917 10709319894624 10735063452063 11661981153888 12325443222739 12723038165408 12768804489744 13119728798124 13832871530556 14313417936084 15506202764091 16063979841936 17492971730832 18443828707408 19084557248112 19153206734616 20674937018788 20749307295834 21470126904126 24650886445478 25537608979488 26239457596248 27665743061112 28626835872168 31012405528182 31123960943751 32127959683872 34985943461664 36887657414816 36976329668217 38169114496224 38306413469232 41349874037576 41498614591668 42940253808252 46518608292273 49301772890956 52478915192496 55331486122224 57253671744336 62024811056364 62247921887502 73952659336434 76612826938464 82699748075152 82997229183336 85880507616504 93037216584546 98603545781912 104957830384992 110662972244448 110928989004651 114507343488672 124049622112728 124495843775004 139555824876819 147905318672868 160230761895607 165399496150304 165994458366672 171761015233008 186074433169092 197207091563824 221857978009302 248099244225456 248991687550008 279111649753638 295810637345736 320461523791214 331988916733344 332786967013953 343522030466016 372148866338184 394414183127648 443715956018604 480692285686821 496198488450912 497983375100016 558223299507276 591621274691472 640923047582428 665573934027906 744297732676368 887431912037208 961384571373642 995966750200032 1116446599014552 1183242549382944 1281846095164856 1331147868055812 1442076857060463 1488595465352736 1774863824074416 1922769142747284 2232893198029104 2563692190329712 2662295736111624 2884153714120926 3549727648148832 3845538285494568 4326230571181389 4465786396058208 5127384380659424 5324591472223248 5768307428241852 7691076570989136 8652461142362778 10649182944446496 11536614856483704 15382153141978272 17304922284725556 23073229712967408 34609844569451112 46146459425934816 69219689138902224 138439378277804448
- Sum of all divisors σ(n): 452441025146880000
- Sum of proper divisors (its aliquot sum) s(n): 314001646869075552
- 138439378277804448 is an abundant number, because the sum of its proper divisors (314001646869075552) is greater than itself. Its abundance is 175562268591271104
Bases of 138439378277804448
- Binary: 1111010111101010111100001100011010010110010101001101000002
- Hexadecimal: 0x1EBD5E18D2CA9A0
- Base-36: 11V4NWEBS4O0
Squares and roots of 138439378277804448
- 138439378277804448 squared (1384393782778044482) is 19165461457945034050681999328584704
- 138439378277804448 cubed (1384393782778044483) is 2653254568645134113154931861636600889087956315963392
-
The
square root of 138439378277804448 is 372074425.7239463213 -
The
cube root of 138439378277804448 is 517312.7869136709
Scales and comparisons
How big is 138439378277804448?- 138,439,378,277,804,448 seconds is equal to 4,401,944,008 years, 6 weeks, 2 days, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 138,439,378,277,804,448 would take you about thirteen billion, two hundred five million, eight hundred thirty-two thousand and twenty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138439378277804448 cubic inches would be around 43109.4 feet tall.
Recreational maths with 138439378277804448
- 138439378277804448 backwards is 844408772873934831
- The number of decimal digits it has is: 18
- The sum of 138439378277804448's digits is 90
- More coming soon!
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The information we have on file for 138439378277804448 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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